中山大学学报自然科学版 ›› 2008, Vol. 47 ›› Issue (2): 9-17.

• 研究论文 • 上一篇    下一篇

一个紧支撑插值正交多小波的平衡性定理

江力 1,2, 吕勇2
  

  1. (1.中山大学数学与计算科学学院,广东 广州 510275;2.湖南工业大学理学院,湖南 株洲 412008)
  • 收稿日期:2007-05-08 修回日期:1900-01-01 出版日期:2008-03-25 发布日期:2008-03-25
  • 通讯作者: 江力

A Balancing Theorem of Compactly SupportedInterpolatory Orthonormal Multiwavelets

JIANG Li1,2,LvYong2   

  1. (1.Department of Mathematics and Computational Science, Sun Yatsen University, Guangzhou 510275,China;2.School of Science, Hunan University of Technology, Zhuzhou 412008,China)
  • Received:2007-05-08 Revised:1900-01-01 Online:2008-03-25 Published:2008-03-25
  • Contact: JIANG Li

摘要:

结合紧支撑插值正交二重多小波的构造理论和两尺度矩阵符号的分解理论,依据平衡多小波理论,证明了一个紧支撑插值正交二重多尺度函数的平衡性定理,即:紧支撑插值正交二重多尺度函数的平衡阶数等于它的逼近阶数。

关键词: 紧支撑, 多小波, 插值, 正交性, 平衡性

Abstract: Through the theory of constructing compactly supported interpolatory orthonormal two multiwavelets and factorizing the two scale matrix symbol, and the balancing theory of multiwavelets,a balancing theorem of compactly supported interpolatory orthonormal two multiscaling functions was proved,ie.,the balancing order of compactly supported interpolatory orthonormal two multiscaling functions is equal to its approximation order.

Key words: compactly supported, multiwavelets, interpolation, orthonormality, balancing

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